Final answer:
The question deals with mathematical functions, the concept of a negative exponent representing a reciprocal, and the relationship between inversely proportional variables.
Step-by-step explanation:
The student's question pertains to mathematical functions, specifically the constant function f(x)=-4 and the reciprocal function g(x)=1/x. When dealing with inverse operations such as division by x to the power of a negative, it's important to recall that a negative exponent indicates a reciprocal.
For example, x-n = 1/xn. This is consistent with the rules of exponents, where subtracting exponents when dividing terms with the same base or a product of a term raised to zero always results in one, as in 34 ÷ 34 = 30 = 1.
In the context of the figures and discussions provided, we observe the relationship between variables such that when one quantity decreases, the other increases to maintain a constant product.
This reciprocal relationship is fundamental in various equations and functions where variables are inversely proportional.